Sabine drew two points on a number line. Which inequality is true?

Answer:

0

Step-by-step explanation:

for x x^2+x-6=-4. x2+x−6=−4 x 2 + x - 6 = - 4. Step 1. Add 4 4 to both sides of the equation. x2+x−6+4=0 x 2 + x - 6 + 4 = 0.

(hope it helps!)

The measure of the given angle , given the dimensions of the sides , is 50 degrees .

The measure of the indicated angle can be found by using Cos function because the given dimensions are the adjacent and hypotenuse measurements to the ∠ ABC .

The measure of the angle ∠ ABC will then be :

Cos ∠ ABC = 9 / 14

Cos ∠ ABC = 0. 6428571

∠ ABC = Cos ⁻ ¹ ( 0. 6428571)

∠ ABC = 49. 99

∠ ABC = 50 degrees

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the correct answer is A. Option A describes a rotation of 180 degrees clockwise, which would result in figure 1 being upside down, and then a translation of 2 units to the left.

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

To transform figure 1 into figure 3, we need to apply two transformations. We can eliminate option B because a rotation of 90 degrees followed by a reflection across the x-axis would transform figure 1 into a mirror image of figure 2, not figure 3.

Option A describes a rotation of 180 degrees clockwise, which would result in figure 1 being upside down, and then a translation of 2 units to the left. This would transform figure 1 into figure 3, so option A is a possible sequence of transformations.

Option C describes a rotation of 180 degrees clockwise followed by a reflection across the y-axis. This would transform figure 1 into a mirror image of figure 2, not figure 3.

Option D describes a rotation of 90 degrees clockwise followed by a translation of 3 units to the right. This would transform figure 1 into a position that is similar to figure 3, but the orientation of the triangle would be different.

Therefore, the correct answer is A.

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Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

9514 1404 393

Answer:

  3:37:43.8

Step-by-step explanation:

The relevant relation is ...

  time = distance / speed

  time = (700 mi)/(192.9 mi/h) ≈ 3.628823 h

  ≈ 3:37:43.8 . . . . HH:MM:SS

The driver's time was about 3 hours, 37 minutes, 43.8 seconds.

_____

Additional comment

Multiply 60 minutes by the fraction of hours to get minutes.

  60×0.628823 ≈ 37.729393 . . . minutes

Multiply 60 seconds by the fraction of minutes to get seconds.

  60×0.729393 ≈ 43.76 . . . seconds

Intermediate values in the calculation should not be rounded. Full calculator precision should be maintained until the final answer.

We can deduce that option A is likely to be true based on the given graph of rolling dice median data.

The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.

The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).

This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.

However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.

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Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

Answer:

The 90% confidence interval for the mean production rate fro the new method is (75.9, 84.1).

Step-by-step explanation:

We have to calculate a 90% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=80.

The sample size is N=18.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{10}{\sqrt{18}}=\dfrac{10}{4.24}=2.36\)

The degrees of freedom for this sample size are:

\(df=n-1=18-1=17\)

The t-value for a 90% confidence interval and 17 degrees of freedom is t=1.74.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_M=1.74 \cdot 2.36=4.1\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M-t \cdot s_M = 80-4.1=75.9\\\\UL=M+t \cdot s_M = 80+4.1=84.1\)

The 90% confidence interval for the mean production rate fro the new method is (75.9, 84.1).

Hello there. To solve this question, we'll have to remember some properties about dividing polynomials.

Given the polynomials, we want to evaluate the division:

Rewriting it the way we perform long division:

We start with the higher degree terms, namely x^4 and x².

Dividing x^4 by x², we get x². Now we multiply every term from the division by this factor and subtract from the term being divided.

Now, we have a 2x³ as the higher degree term from the term being divided. Dividing it by x², we get 2x. Multiply each term of the divisor and subtract from it.

Finally, the highest degree term from the term being divided is x². Dividing it by x², we get 1. Multiply each term of the divisor and subtract it from the dividend.

Now, the highest degree term from the dividend is -x, when the highest degree term from the divisor is x². We cannot proceed with the long division anymore.

It means that we have a quotient:

And a remainder:

Notice if we rewrite it as:

We have the division P(x)/D(x) written in the form:

Where Q(x) and R(x) are the quotient and remainder polynomials.

Answer:

152 cm

Step-by-step explanation:

Perimeter of kite= 2(a+b)

P= 2(AB+CD) = 2(29+47) = 2 *(76) = 152 cm.

If something remains unclear, be free to ask questions!

\( \sf \sqrt[3]{343} = 7 \\ \sf \sqrt[3]{1728} = 12\)

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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The range of the data is 30, and the interquartile range (IQR) is 15.

To create a box plot using the given data, we first need to determine the five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.

From the given data, we can determine the five-number summary as follows:

Minimum: 60

Q1: 70

Median (Q2): 80

Q3: 85

Maximum: 90

Now, let's create a box plot using this information:

```

  |         |         |         |         |

60 |––––––––|––––––––|         |

  |         |         |         |         |

70 |––––––––|––––––––|––––––––|––––––––|

  |         |         |         |         |

80 |––––––––|––––––––|––––––––|––––––––|

  |         |         |         |         |

90 |––––––––|––––––––|         |

  |         |         |         |         |

  ------------------------------------

    60       70        80        90

```

In the box plot, the line within the box represents the median (Q2), the box represents the interquartile range (IQR) from Q1 to Q3, and the lines extending from the box (whiskers) represent the minimum and maximum values. Any data points falling outside the whiskers would be considered outliers.

The range can be calculated as the difference between the maximum and minimum values:

Range = Maximum - Minimum = 90 - 60 = 30

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1):

IQR = Q3 - Q1 = 85 - 70 = 15

Therefore, the range of the data is 30, and the interquartile range (IQR) is 15.

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Answer:42.55

Step-by-step explanation:

Les get the big boi out of the way first. We see that it is 3.5 by 9 and if we multiply we get 31.5. Next left triangle 2 by 2 so four but divided by 2 is 2. God so many  2's. So total is 33.5 so far. Next triangle is 2 by 5 soo  10 divided by 2 is 5. total is 38.5. Last dude in the middle. We know one side is two so we have to subtract here from the triangles which gets u the other side of 2 so 4. Total is 42.5

The Area of the Shape Shown is 42.5 square units.

The area of Rectangle is length times of width.

The area of the rectangle in the given figure is

Area of rectangle=3.5×9

=31.5 square units.

The area of left side triangle is

Area of triangle=1/2×2×2

=2 square units

The area of right side triangle 1/2×5×2

=5 square units

Now the area of square =2²

=4 square units.

Now total area of figure is 31.5+2+5+4 is 42.5 square units.

Hence, the Area of the shape Shown is 42.5 square units.

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In this triangle, the product of sin B and tan C is\(b^2/(ac)\)  , and the product of sin C and tan B is \(c^2/(ab)\).

In a right-angled triangle ABC, where angle A is 90 degrees, we have the following side lengths:

AB = c (base)

BC = a (hypotenuse)

AC = b (perpendicular)

We need to calculate the products of sin B and tan C, and sin C and tan B.

First, let's calculate sin B and tan C:

sin(B) = opposite/hypotenuse = AC/BC = b/a

tan(C) = opposite/adjacent = AC/AB = b/c

The product of sin B and tan C is sin(B) * tan(C) = (b/a) * (b/c) = \(b^2\)/(ac).

Next, let's calculate sin C and tan B:

sin(C) = opposite/hypotenuse = AB/BC = c/a

tan(B) = opposite/adjacent = AB/AC = c/b

The product of sin C and tan B is sin(C) * tan(B) = (c/a) * (c/b) = \(c^2\)/(ab).

Therefore, in the given right-angled triangle ABC, the product of sin B and tan C is\(b^2\)/(ac), and the product of sin C and tan B is \(c^2\)/(ab).

These formulas hold true for any right-angled triangle, where the base is AB, the hypotenuse is BC, and the perpendicular is AC.

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The question probable may be:

In this triangle, the product of sin B and tan C is _____ , and the product of sin C and tan B is _______.

Complete Question:

Find the directional derivative of g(x,y) = \(x^2y^5\)at the point (1, 3) in the direction toward the point (3, 1)

Answer:

Directional derivative at point (1,3),  \(D_ug(1,3) = \frac{162}{\sqrt{8} }\)

Step-by-step explanation:

Get \(g'_x\) and \(g'_y\) at the point (1, 3)

g(x,y) = \(x^2y^5\)

\(g'_x = 2xy^5\\g'_x|(1,3)= 2*1*3^5\\g'_x|(1,3) = 486\)

\(g'_y = 5x^2y^4\\g'_y|(1,3)= 5*1^2* 3^4\\g'_y|(1,3)= 405\)

Let P =  (1, 3) and Q = (3, 1)

Find the unit vector of PQ,

\(u = \frac{\bar{PQ}}{|\bar{PQ}|} \\\bar{PQ} = (3-1, 1-3) = (2, -2)\\{|\bar{PQ}| = \sqrt{2^2 + (-2)^2}\\\)

\(|\bar{PQ}| = \sqrt{8}\)

The unit vector is therefore:

\(u = \frac{(2, -2)}{\sqrt{8} } \\u_1 = \frac{2}{\sqrt{8} } \\u_2 = \frac{-2}{\sqrt{8} }\)

The directional derivative of g is given by the equation:

\(D_ug(1,3) = g'_x(1,3)u_1 + g'_y(1,3)u_2\\D_ug(1,3) = (486*\frac{2}{\sqrt{8} } ) + (405*\frac{-2}{\sqrt{8} } )\\D_ug(1,3) = (\frac{972}{\sqrt{8} } ) + (\frac{-810}{\sqrt{8} } )\\D_ug(1,3) = \frac{162}{\sqrt{8} }\)

Answer:384

Step-by-step explanation:

first you multiply 2 times 2= 4 then 4 times 4 times 4= 64 then you multiply 3 times 2= 6 lastly you multiply 6 and 64. your welcome:)

Answer:

x = 29

y = 110°

Step-by-step explanation:

y° = (3x + 23)° => corresponding angles are congruent)

(2x + 12)° + y° = 180° => linear pair

Thus:

(2x + 12)° + (3x + 23)° = 180° => substitution

2x + 12 + 3x + 23 = 180

Add like terms

5x + 35 = 180

5x = 180 - 35

5x = 145

x = 145/5

x = 29

✔️y = (3x + 23)°

Plug in the value of x

y = 3(29) + 23

y = 110°

Answer:

0

Step-by-step explanation:

it says the answer is zero

Answer:

the rule is multiply input by 25 then add 2, for example 2 x 25 = 50, 50 + 2 = 52

Step-by-step explanation:

this is because you minus 2 from the output to see the pattern from input. For example, 52 - 2 = 50 and to get from 2 to 50 you have to multiply by 25. This can be seen in the other numbers as well. Therefore the answer as a graph will be y = 25x + 2

Answer:

52 divided by 2 equal 26

102 divided by 4 equal 25.5

127 divided by 5 equal 25.4

177 divided by 7 equal 25.28

202 divided by 8 equal 25.25

Step-by-step explanation:

Answer:

11,100

Step-by-step explanation:

1% of 30,000 is 300 so if we times 300 by 37 we get 11,100

there is 11,100 sheep in 37%.

hope this helps :)

Answer:

  vb\

Step-by-step explanation:

Answer:

b & c

Step-by-step explanation:

Answer:

The question is not complete

The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.

Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.

From the first statement, we know that:

2x + 6y = 12.30 ---(Equation 1)

From the second statement, we know that:

3x + 2y = 9.70 ---(Equation 2)

Now we can solve this system of equations to find the values of 'x' and 'y'.

Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:

6x + 18y = 36.90 ---(Equation 3)

6x + 4y = 19.40 ---(Equation 4)

Subtracting Equation 4 from Equation 3, we get:

14y = 17.50

Dividing both sides by 14, we find:

y = 1.25

Substituting the value of 'y' back into Equation 1, we can solve for 'x':

2x + 6(1.25) = 12.30

2x + 7.50 = 12.30

2x = 4.80

x = 2.40

Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

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Answer: first term (a)= 2

second term (b) = -8

common ratio (r) = -8/2 = -4

15th term = ar^ (n-1)

               = 2* (-4)^ 14 =536870912

Step-by-step explanation:

Answer:

536,870,912

Step-by-step explanation:

the formula for geometric sequences is:

aₙ = a₁·\(r^{n-1}\)

where aₙ is, in this case the 15th term

r = common ratio which, in this case, is -4

a₁ = first value in the sequence

so:

a₁₅= 2(-4)^14

= 2(268,435,456)

= 536,870,912

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)